In Figure, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

Find the area of the following figure: (Unit = square m.)

Find the area of the following figure: (Unit = square m.)

Triangle ABC shown below is inscribed inside a square of side 20 cm. Find the area of the triangle. (Unit = square cm.)

A parking lot is constructed in the shape of a parallelogram. What is the area of the parking lot? (Unit = square ft.)

A parallelogram can be thought of as a combination of 2 triangles of equal area .
Area of 1 triangle = ½ x base x height.
Area of 2 triangles = 2x ½ x base x height = base x height.

Sherice plays the bass in a garage band. Sherice’s parents let her and her friends use a section of their garage in the shape of a parallelogram for rehearsals. How much space in square feet does Sherice’s band have to practice in?

A parallelogram can be thought of as a combination of 2 triangles of equal area .
Area of 1 triangle = ½ x base x height.
Area of 2 triangles = 2x ½ x base x height = base x height.

The wall in is to be painted. If one can of paint covers 110 square feet, how many cans of paint will be needed if only one coat of paint is applied?

A 7-foot by 3-foot doorway is to be cut into the trapezoid shaped wall shown. What is the area of the wall, without the doorway? (Unit = square ft.)

The triangular swimming pool shown is surrounded by a concrete patio. Find the area of the patio. Round to the nearest tenth if necessary.  (Unit = square m.)

Find the area of the following parallelogram: (Unit = square cm.)

A parallelogram can be thought of as a combination of 2 triangles of equal area .
Area of 1 triangle = ½ x base x height.
Area of 2 triangles = 2x ½ x base x height = base x height.

Find the area of the following parallelogram: (Unit= square cm.)

A parallelogram can be thought of as a combination of 2 triangles of equal area .
Area of 1 triangle = ½ x base x height.
Area of 2 triangles = 2x ½ x base x height = base x height.

Find AB, if the area of the triangle ABC is 48 square m. and the height CD is 12 m.  (Unit = m)

Find the area of the triangle given below: (Unit = square cm)

Identify the shape that will be angled cross-section of a rectangular pyramid.

The plane cuts the pyramid at an angle which is not parallel to the base of the cone, this is the reason why we are getting a rectangle but with a length : breadth ratio different than that of the base.

Name the shape that would result from slicing a rectangular pyramid parallel to the base

Since the pyramid is rectangular, this means that the base of the pyramid is a rectangle. Therefore, if we slice it parallel to the base, we’ll get a cross section which will look like the base of the pyramid, i.e., a rectangle.

Describe the cross section.

From the given figure, we can observe that the plane cuts the prism making an angle of 0 degrees with the base of the prism. Thus, we’ll get a cross section which will be similar to the base of the prism, i.e., a triangle.